This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A109047 #25 Nov 26 2022 04:02:35 %S A109047 0,6,6,6,12,30,6,42,24,18,30,66,12,78,42,30,48,102,18,114,60,42,66, %T A109047 138,24,150,78,54,84,174,30,186,96,66,102,210,36,222,114,78,120,246, %U A109047 42,258,132,90,138,282,48,294,150,102,156,318,54,330,168,114,174,354 %N A109047 a(n) = lcm(n, 6). %H A109047 Amiram Eldar, <a href="/A109047/b109047.txt">Table of n, a(n) for n = 0..10000</a> %H A109047 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,2,0,0,0,0,0,-1). %H A109047 <a href="/index/Lc#lcm">Index entries for sequences related to lcm's</a>. %F A109047 a(n) = n*6/gcd(n, 6). %F A109047 From _R. J. Mathar_, Apr 18 2011: (Start) %F A109047 a(n) = 2*a(n-6) - a(n-12) = 6*A060789(n) = 6*n/A089128(n). %F A109047 G.f.: 6*x*(1+x+x^2+2*x^3+5*x^4+x^5+5*x^6+2*x^7+x^8+x^9+x^10) / ( (x-1)^2*(1+x)^2*(1+x+x^2)^2*(x^2-x+1)^2 ). (End) %F A109047 Sum_{k=1..n} a(k) ~ (7/4) * n^2. - _Amiram Eldar_, Nov 26 2022 %t A109047 LCM[Range[0,60],6] (* _Harvey P. Dale_, Nov 20 2022 *) %o A109047 (Sage) [lcm(n,6)for n in range(0, 60)] # _Zerinvary Lajos_, Jun 07 2009 %o A109047 (Magma) [Lcm(n,6): n in [0..100]]; // _Vincenzo Librandi_, Apr 18 2011 %Y A109047 Cf. A060789, A089128, A109042. %K A109047 nonn,easy %O A109047 0,2 %A A109047 _Mitch Harris_, Jun 18 2005